# A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction

Yves Capdeboscq; Michael S. Vogelius

- Volume: 37, Issue: 1, page 159-173
- ISSN: 0764-583X

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topCapdeboscq, Yves, and Vogelius, Michael S.. "A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.1 (2003): 159-173. <http://eudml.org/doc/245866>.

@article{Capdeboscq2003,

abstract = {We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.},

author = {Capdeboscq, Yves, Vogelius, Michael S.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {voltage perturbations; conductivity inhomogeneities; low volume fraction},

language = {eng},

number = {1},

pages = {159-173},

publisher = {EDP-Sciences},

title = {A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction},

url = {http://eudml.org/doc/245866},

volume = {37},

year = {2003},

}

TY - JOUR

AU - Capdeboscq, Yves

AU - Vogelius, Michael S.

TI - A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

PB - EDP-Sciences

VL - 37

IS - 1

SP - 159

EP - 173

AB - We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.

LA - eng

KW - voltage perturbations; conductivity inhomogeneities; low volume fraction

UR - http://eudml.org/doc/245866

ER -

## References

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